Coincidence Points and Invariant Approximation Results on $q$-Normed Spaces

Hemant Kumar Nashine

We present coincidence points results for multivalued $f$-nonexpansive mappings in the setting of nonstarshaped domain of $q$-normed space which is not necessarily a locally convex space. As application, an invariant approximation result is also obtained. Our results improve and extend the results of Bano, Khan and Latif [1], Hussain [4], Latif and Tweddle [7], Rhoades [11], Sahab, Khan and Sessa [13], Shahzad [14] and Singh [15] in the setting of nonstarshaped domain.